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vitfil [10]
3 years ago
15

Simplify the inequality: -12.4x+8x > -0.4x-5.2-2.7

Mathematics
1 answer:
ad-work [718]3 years ago
8 0

Answer:

<h3><u>x < 1.975</u></h3>

Explanation:

-12.4x + 8x > -0.4x - 5.2 - 2.7

<em>Add similar elements: -12.4x + 8x = -4.4x</em>

-4.4x > -0.4x - 5.2 - 2.7

<em>Subtract -5.2 - 2.7: -7.9</em>

-4.4x > -0.4x - 7.9

<em>Multiply both sides by 10</em>

-4.4x · 10 > -0.4x - 7.9 · 10

<em>Refine</em>

-44x > -4x - 79

<em>Add 4x to both sides</em>

-44x + 4x > -4x - 79 + 4x

<em>Simplify</em>

-40x > -79

<em>Multiply both sides by -1 (Reverse the inequality)</em>

-40x (-1) > -79 (-1)

<em>Simplify</em>

40x < 79

Divide both sides by 40

40x / 40 < 79 / 40

<em>Simplify</em>

x < ⁷⁹⁄₄₀

<em>Turn the fraction into a decimal</em>

<h3><u>x < 1.975</u></h3>
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A company has 300 items to post, they have packages and
swat32

Answer:

£162.35.

Step-by-step explanation:

Total of letters + packages = 300.

Number of packages =  300 * 16 / ( 16+59)

= 300 * 16/75

= 64

So number of letters = 300 - 64 = 236.

No. of first class letters = 236 * 1/4 = 59.

No. of 2nd class letters = 236 - 59 = 177.

Total cost

=  64*1.2 + 0.52*59 + 0.31*177

= 162.35.

4 0
2 years ago
Gonzalo observa que el grifo del lavabo de un año después el goteo se produce una velocidad de una gota por segundo y cada gota
Sergio [31]

Answer:

La familia de Gonzalo ha despilfarrado 15,768 litros de agua.

Step-by-step explanation:

Dado que Gonzalo observa que el grifo del lavabo gotea luego de un año, y el goteo se produce una velocidad de una gota por segundo y cada gota contiene 0.5ml de agua, para determinar cuántos litros de agua ha despilfarrado la familia de Gonzalo desde que ellos se dieron cuenta de la avería se debe realizar el siguiente cálculo:

1 año = 365 dias x 24 horas x 60 minutos x 60 segundos

0.5 x 60 x 60 x 24 x 365 = X

30 x 60 x 24 x 365 = X

1800 x 24 x 365 = X

43,200 x 365 = X

15,768,000 = X

15,768,000 / 1000 = X

15,768 = X

Por lo tanto, la familia de Gonzalo ha despilfarrado 15,768 litros de agua.

5 0
3 years ago
Who ever answers this I will mark as brainliest
Pani-rosa [81]

Answer: uhhhhhh pass

Step-by-step explanation:

5 0
3 years ago
C(x)=2x^2-400x+31,000
NemiM [27]
This is a quadratic so if you want to find the solutions, use the quadratic formula. Google quadratic formula and videos on it and how to use it will pop up.
7 0
3 years ago
Write a proportion for the statement.<br> 40 is to 10 as 32 is to 8.
Svetach [21]

Hi! ⋇

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

  All proportions have <u>this</u> <u>form</u>:

  \sf{\dfrac{a}{b}=\dfrac{c}{d}}, Where \sf{\dfrac{a}{b}} is equal to \sf{\dfrac{c}{d}}.

 If \sf{\dfrac{a}{b}\neq\dfrac{c}{d}}, it's <u>not</u> a proportion.

_________________________

  Here we have two pairs of numbers:

40,10 and 32,8.

Written As a <u>proportion</u>, they <em>look like</em> :

\sf{\dfrac{40}{10}=\dfrac{32}{8}}

Hope this made sense to you :)

\it{Calligrxphy}

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

6 0
2 years ago
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